Properties

Label 333270.l
Number of curves $1$
Conductor $333270$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 333270.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
333270.l1 333270l1 \([1, -1, 0, -1755, -89019]\) \(-1550640289/8067360\) \(-3111104777760\) \([]\) \(614400\) \(1.0814\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 333270.l1 has rank \(1\).

Complex multiplication

The elliptic curves in class 333270.l do not have complex multiplication.

Modular form 333270.2.a.l

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} - q^{7} - q^{8} + q^{10} + q^{14} + q^{16} + 4 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display